Search a number
-
+
101301321103333 = 1329326595253637
BaseRepresentation
bin10111000010001000001101…
…010000100111011111100101
3111021200022102020112222120221
4113002020031100213133211
5101234210101200301313
6555241103502124341
730223531113050101
oct2702101520473745
9437608366488527
10101301321103333
112a30671592a8aa
12b440a5b5806b1
13446a89ab56a20
141b0301da12901
15baa12e6a2c8d
hex5c220d4277e5

101301321103333 has 8 divisors (see below), whose sum is σ = 109466063974008. Its totient is φ = 93189768740544.

The previous prime is 101301321103291. The next prime is 101301321103369. The reversal of 101301321103333 is 333301123103101.

It can be written as a sum of positive squares in 4 ways, for example, as 5737069267524 + 95564251835809 = 2395218^2 + 9775697^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101301321103333 - 237 = 101163882149861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101301321103298 and 101301321103307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301321101333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13297623010 + ... + 13297630627.

It is an arithmetic number, because the mean of its divisors is an integer number (13683257996751).

Almost surely, 2101301321103333 is an apocalyptic number.

101301321103333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101301321103333 is a deficient number, since it is larger than the sum of its proper divisors (8164742870675).

101301321103333 is a wasteful number, since it uses less digits than its factorization.

101301321103333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26595253943.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 101301321103333 its reverse (333301123103101), we get a palindrome (434602444206434).

The spelling of 101301321103333 in words is "one hundred one trillion, three hundred one billion, three hundred twenty-one million, one hundred three thousand, three hundred thirty-three".

Divisors: 1 13 293 3809 26595253637 345738297281 7792409315641 101301321103333